Investigation of tunable buffer layers for coated superconductors

C

CO adsorption on Pt induced Ge nanowires

Using density functional theory, we investigate the possible adsorption sites of CO molecules on the recently discovered Pt induced Ge nanowires on Ge(001). Calculated STM images are compared to experimental STM images to identify the experimentally observed adsorption sites. The CO molecules are found to adsorb preferably onto the Pt atoms between the Ge nanowire dimer segments. This adsorption site places the CO in between two nanowire dimers, pushing them outward, blocking the nearest equivalent adsorption sites. This explains the observed long-range repulsive interaction between CO molecules on these Pt induced nanowires.Comment: 12 pages, 10 figure

Models and Simulations in Material Science: Two Cases Without Error Bars

We discuss two research projects in material science in which the results cannot be stated with an estimation of the error: a spectro- scopic ellipsometry study aimed at determining the orientation of DNA molecules on diamond and a scanning tunneling microscopy study of platinum-induced nanowires on germanium. To investigate the reliability of the results, we apply ideas from the philosophy of models in science. Even if the studies had reported an error value, the trustworthiness of the result would not depend on that value alone.Comment: 20 pages, 2 figure

Rationality: a social-epistemology perspective

Both in philosophy and in psychology, human rationality has traditionally been studied from an "individualistic" perspective. Recently, social epistemologists have drawn attention to the fact that epistemic interactions among agents also give rise to important questions concerning rationality. In previous work, we have used a formal model to assess the risk that a particular type of social-epistemic interactions lead agents with initially consistent belief states into inconsistent belief states. Here, we continue this work by investigating the dynamics to which these interactions may give rise in the population as a whole

Formation of Pt induced Ge atomic nanowires on Pt/Ge(001): a DFT study

Pt deposited onto a Ge(001) surface gives rise to the spontaneous formation of atomic nanowires on a mixed Pt-Ge surface after high temperature annealing. We study possible structures of the mixed surface and the nanowires by total energy (density functional theory) calculations. Experimental scanning tunneling microscopy images are compared to the calculated local densities of states. On the basis of this comparison and the stability of the structures, we conclude that the formation of nanowires is driven by an increased concentration of Pt atoms in the Ge surface layers. Surprisingly, the atomic nanowires consist of Ge instead of Pt atoms.Comment: 4 pages, 3 figure

The Formation of Self-Assembled Nanowire Arrays on Ge(001): a DFT Study of Pt Induced Nanowire Arrays

Nanowire (NW) arrays form spontaneously after high temperature annealing of a submonolayer deposition of Pt on a Ge(001) surface. These NWs are a single atom wide, with a length limited only by the underlying beta-terrace to which they are uniquely connected. Using ab-initio density functional theory (DFT) calculations we study possible geometries of the NWs and substrate. Direct comparison to experiment is made via calculated scanning tunneling microscope (STM) images. Based on these images, geometries for the beta-terrace and the NWs are identified, and a formation path for the nanowires as function of increasing local Pt density is presented. We show the beta-terrace to be a dimer row surface reconstruction with a checkerboard pattern of Ge-Ge and Pt-Ge dimers. Most remarkably, comparison of calculated to experimental STM images shows the NWs to consist of germanium atoms embedded in the Pt-lined troughs of the underlying surface, contrary to what was assumed previously in experiments.Comment: 6 pages, 4 figures, E-proceedings of 2009 MRS spring Meetin

Assigning probabilities to non-Lipschitz mechanical systems

We present a method for assigning probabilities to the solutions of initial value problems that have a Lipschitz singularity. To illustrate the method, we focus on the following toy-example: $\ddot{r} = r^\alpha$, $r(t=0) =0$, and $\dot{r}\mid_{r(t=0)} =0$, where the dots indicate derivatives to time and $\alpha \in ]0,1[$. This example has a physical interpretation as a mass in a uniform gravitational field on a dome of particular shape; the case with $\alpha=1/2$ is known as Norton's dome. Our approach is based on (1) finite difference equations, which are deterministic, (2) a uniform prior on the phase space, and (3) non-standard analysis, which involves infinitesimals and which is conceptually close to numerical methods from physical praxis. This allows us to assign probabilities to the solutions of the initial value problem in the original, indeterministic model.Comment: 13 figure